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All results from a given calculation for C6H5CH3 (toluene)

using model chemistry: B2PLYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B2PLYP/cc-pVTZ
 hartrees
Energy at 0K-271.407750
Energy at 298.15K-271.415798
HF Energy-271.038099
Nuclear repulsion energy269.726477
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B2PLYP/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3215 3084 14.06      
2 A' 3193 3064 5.81      
3 A' 3178 3049 8.17      
4 A' 3107 2981 17.05      
5 A' 3048 2924 26.70      
6 A' 1653 1586 7.26      
7 A' 1537 1474 14.00      
8 A' 1503 1442 5.80      
9 A' 1423 1365 0.56      
10 A' 1240 1189 0.93      
11 A' 1208 1159 0.30      
12 A' 1070 1027 6.99      
13 A' 1055 1012 2.52      
14 A' 1022 981 0.04      
15 A' 995 955 0.05      
16 A' 916 879 0.58      
17 A' 802 769 0.69      
18 A' 747 716 54.10      
19 A' 711 682 15.99      
20 A' 528 506 0.61      
21 A' 476 457 8.22      
22 A' 210 201 2.09      
23 A" 3202 3072 33.45      
24 A" 3180 3051 5.78      
25 A" 3131 3004 14.89      
26 A" 1632 1566 0.25      
27 A" 1514 1452 13.26      
28 A" 1478 1418 0.16      
29 A" 1367 1312 0.00      
30 A" 1351 1297 0.13      
31 A" 1185 1137 0.06      
32 A" 1115 1070 4.78      
33 A" 1007 966 0.12      
34 A" 979 939 0.00      
35 A" 861 826 0.02      
36 A" 635 610 0.08      
37 A" 415 398 0.00      
38 A" 342 328 0.28      
39 A" 33 32 0.19      

Unscaled Zero Point Vibrational Energy (zpe) 28131.4 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 26989.3 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B2PLYP/cc-pVTZ
ABC
0.18596 0.08436 0.05866

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.005 0.910 0.000
C2 0.007 0.195 1.198
C3 0.007 -1.196 1.201
C4 0.006 -1.897 0.000
C5 0.007 -1.196 -1.201
C6 0.007 0.195 -1.198
C7 -0.027 2.414 0.000
H8 0.012 0.732 2.137
H9 0.012 -1.730 2.140
H10 0.009 -2.977 0.000
H11 0.012 -1.730 -2.140
H12 0.012 0.732 -2.137
H13 -1.054 2.783 0.000
H14 0.465 2.820 0.882
H15 0.465 2.820 -0.882

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.39532.42432.80712.42431.39531.50402.14433.39893.88743.39892.14432.15152.15332.1533
C21.39531.39032.41012.77242.39552.52211.08202.14323.39043.85313.37773.04332.68363.3804
C32.42431.39031.39052.40162.77243.80432.14311.08082.14843.38343.85444.28954.05424.5467
C42.80712.41011.39051.39052.41014.31093.38782.14661.08042.14663.38784.79864.82034.8203
C52.42432.77242.40161.39051.39033.80433.85443.38342.14841.08082.14314.28954.54674.0542
C61.39532.39552.77242.41011.39032.52213.37773.85313.39042.14321.08203.04333.38042.6836
C71.50402.52213.80434.31093.80432.52212.71964.66445.39124.66442.71961.09141.08881.0888
H82.14431.08202.14313.38783.85443.37772.71962.46244.28074.93514.27373.14802.47773.6982
H93.39892.14321.08082.14663.38343.85314.66442.46242.47684.28024.93515.10764.74265.4811
H103.88743.39042.14841.08042.14843.39045.39124.28072.47682.47684.28075.85765.88145.8814
H113.39893.85313.38342.14661.08082.14324.66444.93514.28022.47682.46245.10765.48114.7426
H122.14433.37773.85443.38782.14311.08202.71964.27374.93514.28072.46243.14803.69822.4777
H132.15153.04334.28954.79864.28953.04331.09143.14805.10765.85765.10763.14801.75761.7576
H142.15332.68364.05424.82034.54673.38041.08882.47774.74265.88145.48113.69821.75761.7638
H152.15333.38044.54674.82034.05422.68361.08883.69825.48115.88144.74262.47771.75761.7638

picture of toluene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.983 C1 C2 H8 119.356
C1 C6 C5 120.983 C1 C6 H12 119.356
C1 C7 H13 110.987 C1 C7 H14 111.292
C1 C7 H15 111.292 C2 C1 C6 118.283
C2 C1 C7 120.853 C2 C3 C4 120.154
C2 C3 H9 119.771 C3 C2 H8 119.661
C3 C4 C5 119.443 C3 C4 H10 120.278
C4 C3 H9 120.075 C4 C5 C6 120.154
C4 C5 H11 120.075 C5 C4 H10 120.278
C5 C6 H12 119.661 C6 C1 C7 120.853
C6 C5 H11 119.771 H13 C7 H14 107.448
H13 C7 H15 107.448 H14 C7 H15 108.197
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.099      
2 C -0.160      
3 C -0.119      
4 C -0.145      
5 C -0.119      
6 C -0.160      
7 C -0.309      
8 H 0.118      
9 H 0.124      
10 H 0.126      
11 H 0.124      
12 H 0.118      
13 H 0.107      
14 H 0.098      
15 H 0.098      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.034 0.359 0.000 0.361
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.219 -0.071 0.000
y -0.071 -38.526 0.000
z 0.000 0.000 -38.813
Traceless
 xyz
x -7.550 -0.071 0.000
y -0.071 3.990 0.000
z 0.000 0.000 3.560
Polar
3z2-r27.120
x2-y2-7.693
xy-0.071
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.463 -0.077 0.000
y -0.077 14.611 0.000
z 0.000 0.000 12.634


<r2> (average value of r2) Å2
<r2> 200.525
(<r2>)1/2 14.161